Question

in figure if angle A is congruent to Angle B then prove that line l parallel to line m ​

Answer 1

Answer:

angle A=B

( alternate angle )

hence if alternate angles are equal then the lines are parallel

Answer 2

Answer:

Given: ∠a ≅ ∠b

To prove: line l| line m

Proof: consider ∠c as shown in the figure

∠a ≅ ∠c …….. (i) [Vertically opposite angles]

But, ∠a ≅ ∠b I (ii) [Given]

∴ ∠b ≅ ∠c [From (i) and (ii)]

But, ∠b and ∠c are corresponding angles on lines l and m when line n is the transversal.

∴ line l || line m. [Corresponding angles test)

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